Is the next employer giving you Chance to allow you go hand over

It right to feel that way because loyalty to your supervisor gives chance longer at your work place. This helps avoid conflicts. The best you can do... is walking in the light. Changing form one job station to the other is okay.
You need to request for a break to smooth hand over to a next employee. Say farewell
to your employer. If possible you will induct the next work on how things are done. more

Make sure you resign before you start, it’s very important.

You are doing nothing wrong. If you get a better offer, please move ahead. your current employer wouldn't think twice if they decide to terminate your... employment. more