I've got dyspraxia and have a lot of those symptoms - it varies between sufferers though. I suffer from muscular issues (hypo and hyper tensive muscles), reflex issues (overactive startle reflex), gross motor difficulties (spatial awareness, sports, movement, bodily positioning, holding a cup, spilling food, chopping veg, cooking), fine motor problems (writing, using a paintbrush, sewing, craft, using a knife and fork, picking up small things), sensory problems (having my hair brushed, extremes of temperatures, food textures, fabric textures, noise overload, smell overload), anxiety/phobia and confidence issues and communicative/social awareness difficulties. Despite all that - I lead a fairly normal life and people often don't know my difficulties until I tell them.
I'd ask either your GP or uni for some more advice - you may have it, but then again you may just be normal.
The tests ed pyschs/OTs use can be veeeery long - I had drawing tests, writing tests, spelling tests, reading tests, maths tests questionairres and then some other tests that involved lpaying darts, using a ball (throwing, kicking), walking, crawling, curling up into a ball, lying on the floor and having my neck rotated to see if I had retained baby reflexes, cutting up a twix, putting on a shirt with buttons, putting on a pair of shoes, pretending to "cook", standing with my eyes closed, having my eyes and reflexes tested, using a balancing beam and other gym equipment, playing with blocks, putting pictures in order - there's a lot, howevr that was spaced out from 2000 to 2011 and I would imagine you won't require a lot of those tests!
It never cost me to get any tests - however, I was tested at age eight through the hospital, then again at age eighteen through the uni so they could organise support. Your uni/GP should be able to help cost wise.