Hi, the first thing you may decide is compact (one fixed lens, 2 at most, ease of use, small and so easy to carry on and have ready at hand) vs reflex (bigger, normally better, but you will notice it principaly on enlargement - A4 at least-, better flash and indoor capacity, BUT heavier, more accesories lenses etc, dificult to use at the best of capacity, almost impossible to carry in a pocket).
It may be interesting to think if you want "souvenirs" picture and don´t worry about material; or you like Photography by itself and are decided to investigate aperture, speed, 2nd curtain synchro ...
If it may help you here is some info given by Chasseurs d'Images (one of the more serious european magazine with a forum -in french- photim.net):
Having in mind you want indoor picture (always difficult to get with a compact because of the small flash and being not so good at higher sensibility):
Compacts and bridge
Fuji F10 very good until 800 ISO (but not stabilized)
Fuji S6500 fd very good until 3200 ISO (is a "bridge"-> intermediate between compact and reflex), not stabilized
Fuji F31 fd (fd = face detection) excellent until 800 ISO, correct 1600 and 3200
Canon Ixus 800 IS good pictures until 800 ISO and stabilized
Ricoh Caplio R5 stabilized and good pictures until 800 - 1600 ISO
Canon Powershot A640 10 Mpix
Reflex
Is difficult to choose because it will depend if you will want to get a lot of lenses or not
Pentax K10D, not a lot of lenses (you have what you need for normal use, not enough for professional) but for the price yoiu have 10 mpix, antishacking, antidust
Nikon D80 and Canon EOS 400D 10 Mpix, lot of lenses (excellent enlargement until A3), both good choice.
Sony Alpha 100 , Minolta and Sony lenses, built in antishake and antidust, excellent enlargements until A4
Think about buying a monopode, or a small tripode you will get better pictures with a quieter base (about all if it is indoor)
Sorry for my long thread but your question is, IMHO, difficult to answer in just a couple of words.
Enjoy your new camera

and give us a lot of pictures
Regards from Mallorca
JF