The following are just my experience n my opinion for your reference only:
For ht setup, others say the most impt component is centre and sub. But it felt front left right and centre plus sub are all impt. You heard these at work most of the time. HT is very technology driven. The source/player and avr changes too quickly which i felt its not worth to spend so much on them. My yamaha 2500 was 3 years old without hdmi. Now no value liao. Hence, I channel all most of my budget to speakers.
The placement and speaker size will have alot of impact to the final setup. Satellite in 3m x 3m bedroom are acceptable. But no no in the hall cos it get distorted when you pump up the volume especially your hall is very open. I would go for bkshelf or floorstand for a fuller and louder sound. If kids are a problem like me, wall mount bkshelf speakers are the best solutions. You get to keep the kids out of reach and still maintain enough loudness. but missy might not like it.
For me, I would look at easy to drive speakers for a start becos your budget does not allow good high current multi-channel amp to drive them. So I would suggest:
Focal 700 or 800 series
PSB Image series
KEF Q series
Monitor Audio Bronze and Silver series
Paradigm Monitor SE series
THiel SCS series
Proac Studio series
All the above are only a hand full of the popular speakers which are definitely to bring you good sound at a price. But no one say you must buy all at once. We can buy in components. Get front left right first, center if budget allows + a mid range AVR (500 - 800 is more than enough). Sub will be next and follow by surrounds. For source, there are tons of options, either a player or a HTPC or a media player.
My take is to go adelphi for a walk and have audition on those listed for your reference. You shall decide if they worth the investment.
My approach to HT is very difference from others. I use active speakers with processors while others usually got for multi-channel amp or avr with passive speakers.