I will also support the have them inspected..
I will also warn to air them up BEFORE MOVING even so much as one inch.
Then tow SLOWLY to the tire technician.
Suggestions for futuer storage.
Jack it up and put jack stands under the trailer so tires are not in contact with ground (That way if they loose air over winter,, No damage)
IF you need to replace them.. FIRST inspect to see if there is room and if there is consider going one size larger.. Reasons.
Larger tire rolls easier (Better MPG) can carry more weight (Less chance of an overwheigh blow out) and spins slower (Less bearing wear) IN short, an all around better deal, Though it will affect (1") the ride height and of course costs more plus you need new rims.
BUT ONLY IF IT FITS.. And as I said, ONLY if you are replacing the lot of them or at least half of them. (not worth the cost otherwise)
Home is where I park it!