thank you. if there is no mortgage on the property presently, then you can certainly achieve what you want to achieve by transferring the property into your sons name. if there is a mortgage on the property, then this would need to be repaid in order to do so which may involve your son obtaining a mortgage in his own name if he does not have the funds to repay the mortgage for you.
however, before you consider transferring the property, you would need to stop and consider whether you should. What this would amount to you would be a gift of the property to your son and there is no difficulty in respect of you making a gift per se but if you then subsequently intend to rely on any former benefits or charitable application in terms of your housing, you will need to consider that the gift is likely to be regarded as deprivation on your part. That is to say, you can be treated as having voluntarily given away assets in order to rely upon state or charitable aid and accordingly, you can be treated for the purposes of any such application is still owning the property even where you do not.
If you do not have another property to live in or the means to support yourself without recourse to any form of benefit or charitable aid if you make the gift, will need to consider whether this is a sensible approach as you may be left with very few options in this respect as a result of the above.
As an alternative, you could consider leaving the property to your son in a will or, if you wish to attempt to protect the property from claims such as care the funding and so on, providing you are not presently aware of any circumstances whereby you may need to enter into care, you could consider use of something known as a life interest trust, sometimes marketed as an asset protection trust which provides a gift of the property to your son subject to a life interest for you to live in and enjoy the property for the remainder of your life