usually hot seizes can't be fixed with fluid in cylinder...
go to kawaski.com
click on
owner info->parts diagram->kx100 (or whatever it is)->cylinder/piston
that'll show you what's going on in there, so you'll have an idea of the parts.
the process is the same for every water cooled 2 stroke.
drain radiator
remove head
remove cylinder base nuts
pull cylinder off (if pv you'll need to unhook first)
put rag in crankcase cylinder mouth
remove circlips from piston pin
push piston pin out (proper tool helps..but socket will work)
once it's apart you will need to check - piston, rings, cylinder,small end bearing, pin, and big end bearing play. you also need to clearance new piston, rings, etc. you will probably need a book to get specs for cylinder wear/etc. if you hot seized, you'll probably need a rebore/new piston/rings/pin/bearing and circlip. it's easier and harder than it looks to do it right
you may get away with just honing the cylinder (if the damage is MINIMAL - don't forget that piston slides up and down 10000 times a minute) but if it seized i would not reuse piston/rings/pin/bearing or circlips....
overall you're talking between $100 and $300 in parts i would think. rebores are cheap (usually $25ish). pistons are cheap for kx100 i would think (under $100)....
any competent motorcycle shop could do the job in 2 hours or so (minus the rebore).