In my pastoral experience, most people make some sort of fasting related resolution. I applaud their intentions, but sometimes their emphasis on fasting obscures for them the real purpose of the fast (it is not fasting!), and trying something that is beyond their spiritual and physical capabilities sets them up for failure, and sometimes, despair. Even if they succeed in their fasting goal, they miss out on improving themselves in more important ways. Remember: Nobody is saved because of fasting (but those who are being saved fast).
There is only ONE important resolution to make for the Great Fast. It is mentioned (in so many words and images) constantly in our services. We will mention that one in a little bit.
It is very important to fast, especially for the one who has rarely fasted, but there are more pressing things. It would be better if a person prayed the Prayer of St Ephrem  with attention in the morning and the evening. How many think about fasting, and even buy cool new vegan food from the local yuppie grocery, and do not increase their prayer? This is more important. We need to become more regular at prayer, and pray with more attention. The prayer of St Ephrem is a great place to start.
Also, there are extra services in any serious parish during the fast , especially in Clean week and Holy week. If you are not in the habit of going to church except on Sunday, or sometimes on Saturday too, it would be better for your soul if you made the effort to change your habits and attend at least one of the extra services each week regularly. This is much more meaningful (and difficult!) for those who are not in the habit of so much “church prayer” than “not eating till 3”, or “trying to not use oil” during the week.
Great Lent is a time when we are trying to change the way we think, and act. We are trying to get less selfish.
Many people rarely or inconsistently pray for others. This is the perfect time to decide to give our supplications to God for our loved ones (and especially our not loved ones!), our family, friends, and our pastor. Praying for others is demanded in the scriptures. We must do it; we need to get very good at it. Our prayer will not be fruitless, even though it may be distracted and not seem to us to be very effectual. We are in training to not think of ourselves, and to love, truly love, others. Prayer with attention is the greatest expression of love.
How do we go about this is we are undisciplined in prayer? We must have two things – real honest desire (which will be shown by our effort) and a little planning and organization.
Get a notecard and write a few important names on it. You can also use the prayer list we publish and change frequently- it is here: http://docs.google.com/View?id=dzgvjb6_16f2pcdrhn.
Do not try to be eloquent or lengthy. All you need do is pray “Lord have mercy” for (N)”; do this for each person. You may also pray the Jesus prayer for each person. This blog has written at length about intercessory prayer for others: here: “ Christian Life Skills: Praying for others. Praying for enemies. The Jesus Prayer. 
Of course, we should plan to fast from various foods, but in comparison to our prayer, it certainly must take second place. In fact, the scripture teaches that fasting is in order to increase our prayer , so merely fasting without making other changes is nonsensical from a spiritual point of view.
The Most important Resolution.
Above, it was said that “Great Lent is a time when we are trying to change the way we think, and act.” This should be our “resolution” during the Great Fast. If we need to have an actual resolution, let us have the one St Herman of Alaska  has taught us:
"For our good, for our happiness," … "at least let us give a vow to ourselves, that from this day, from this hour, from this minute, we shall strive above all else to love God and to do His Holy Will!"
“NB” is shorthand for “nota bene” ,which is Latin for “Note well”. These shorter posts are meant to be “noted well” more often because they are briefer than the usual blog posts. I have “noted well” that many of my flock does do not read the longer posts. I have a lot of stuff to tell you, so there will still be longer posts, but I also plan to post shorter “snippets” which will have “NB:” in the title.
Priest Seraphim Holland 2010. St Nicholas Russian Orthodox Church, McKinney, Texas
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 There are RARE exceptions, when a pastor is unable to support himself without a very inflexible job, and cannot serve services during the week, but for the most part, when you see a church with just weekend services, and even only Sunday services, you would be better off finding another one.
 “Defraud ye not one the other, except it be with consent for a time, that ye may give yourselves to fasting and prayer; and come together again, that Satan tempt you not for your incontinency.” 1 Corinthians 7:5
“But I, when they troubled me, put on sackcloth, and humbled my soul with fasting: and my prayer shall return to my own bosom.” (Psalm 34 , Brenton Septuagint)
“And I set my face toward the Lord God, to seek him diligently by prayer and supplications, with fastings and sackcloth. “(Daniel 9:3 , Brenton Septuagint)