If I am in a public place such as school and it’s prayer time. I still have my wudhu but I feel the urge to go to the toilet. Can I still do my prayer knowing that I will be feeling that urge to to to the bathroom while praying? Or do i have to do to the bathroom and re-do my wudhu knowing what that doing my wudhu will be a little difficult since i have to take off my hijab etc.

If someone feels to urge urine and offered the prayer it is makrooh.
Of course one can not concentrate in the prayer. No doubt it does not invalidate the prayer but makrooh, suggest you to do wudhu and offer your prayer.