First, if you decide to sell, potential buyers will find it a challenge to obtain financing for a manufactured home that is older than June 1, 1976. This is the oldest manufacturing date that FHA, Fannie Mae, and Freddie Mac will allow. So a 1962 home won't qualify for the majority of loan programs available.
Second, obatining financing on a new home for you will also be a challenge. Fannie Mae, Freddie Mac, and FHA have all added restrictions to their loan products and have eliminated many of the "short-cut" loans. In fact, beginning July 14, FHA will consider credit scores in determining the amount of FHA insurance paid by borrowers. FHA has never considered credit scores (but most banks add their own restrictions on top of FHA). Borrowers with weak credit will pay more in closing costs and monthly payment. Additionally, Federal and state regulators have cracked down on lenders who do not carefully consider a borrower's ability to repay a loan... even if your credit is excellent, in most cases a two year history of qualifying income from W-2s, retirement, or tax returns will be required. You may not be able to prove enough income to qualify for the loan you need to purchase a new home.
It would be best to speak with a mortgage sales rep at your bank to help you determine how much of your income can be used for qualifying and how much house you can afford.
But definitely speak with a Realtor about buying, selling, or renting out.
The question I have for you is why do you want to move? Are the schools a problem for you? Also, which areas are you considering? Before jumping into this, you might want to go online or ask me or any of the other agents on Trulia to send you listings in those areas. That will help to establish the price points of homes you might consider. Then call a mortgage lender and find out whether you will qualify to buy any of those homes. The next step, providing you have selected an area you would like and you can qualify for a loan, would be to ask a few agents to prepare a comparative market analysis for you to determine value of your mobile home and land. It is possible that any one of these three steps could throw a wrench into your plans.
I don't sell mobile homes, but I know agents who do. However, I would not be surprised if your land is worth more than your mobile home.
I'd take this one step at a time. Also, realize that if you wait for the market to turn around, that means prices will be going up. So, although you would most likely receive more for the land and mobile home, you will almost certainly pay more for a new home. You might be better off buying when prices are lower, even though it may mean selling for less.
Personally, if you have an opportunity to increase your income, I'd wait until you are earning more and are satisfied that your income will continue before pursuing a more expensive home. The last thing you want to do is stretch yourself too thin.