Hi. I'm planning a homebirth too so can only tell you the plan - not what has actually worked! Best thing to do is talk it through with your midwife. I'm very lucky as I'm under one-to-one midwives who are set up for this.
All midwives carry a pool in their car so I haven't had to organise one- that might be your first thing to sort.
I'm planning on putting the pool in the living room. We've had to buy a new hose and tap adaptor (£10 from b&q and amazon) but these may be supplied if hiring a pool???
DH did a test run with the hose and it'll reach from bathroom or kitchen but adaptor is a better fit on bathroom tap so the hosepipe will come down the stairs.
Have been advised to put an old duvet under the pool to keep in heat - luckily had one in loft. I also got some really cheap plastic sheeting from Amazon. Only other thing I've heard advised is puppy training pads so might get some.
Midwife and DH will be setting up pool so I'm not even going to think about it! I haven't asked about emptying the pool but have been told a few times that the midwives will do it!
Oh and I've also been asked to provide a seive 
I've washed about 5 oldish towels ready and have a towel for the baby.
I've packed hospital bags in case and put them in living room as lots of things (especially snacks) will be useful either in my living room or in hospital.
What would your planning be for the dog and 5 year old if you have to go into hospital - it may be that you want to go with the same plan even if you're at home. Or- dog can be kept in another room with someone available to let it out/feed it when needed. And I've seen videos of homebirths with little ones there taking it all in there stride. It would depend what you are comfortable with.
Very best of luck!