Lots of sympathy, my son had reflux and it is indeed truly hellish. He was sick up to 50-60 times a day as a baby, but to reassure you it did indeed get better and he is now a happy healthy 3 year old with no memory of it all, and never sick now. The thing that makes the biggest difference is time but there are things that can help meanwhile.
Firstly get yourselves a sling and use it lots! We had a hugabub (actually we had three as they were always covered in puke and needing washing...) and our son lived in it for the first few months. It kept him upright and so more comfortable and able to sleep and gave me free hands.
We also bought a rocking swing thing which could be tilted quite upright and he found that soothing and could sleep in that. I know some people use a car seat, although for us that wasn't helpful as it crunched his stomach and made him more sick.
You may well need to fiddle around with the dose of the medications to get it right - it's done by weight so needs adjusting fairly often, so do keep going back to the doctor if things are not getting better. Be a bit of a squeaky wheel, I don't mean complain but just be firm about keeping going back and saying if things are not improving so they can adjust the dosage.
Not in my son's case but often reflux is associated with dairy allergy so worth getting that ruled out. If it is dairy allergy you will need to cut out all dairy ruthlessly if you bf or there are non dairy formulas. There are also formulas called 'comfort milk' which are v gentle on the stomach, expensive but you can be prescribed them so get them free, worth asking your paed about this.
I found giving Gaviscon in water as per the instructions a nightmare so started putting it in a little expressed milk in a bottle and giving it that way, much easier.
Weaning to solids was also a help for us, although we didn't wean early as when we tried a bit early in case it helped he got an upset tummy so we gave it a few weeks before we tried again. However I know some people weaned early and found it helped so again worth talking to your paed about it as a possibility.
And be very gentle on yourselves and ask for lots of help. It is awful to see your baby in pain and the screaming and being puked on is very stressful. There is an online reflux website and forum - google for crying over spilt milk - where you will find lots of advice and support. (Also it sounds horrible but some of the parents there have it incredibly hard - babies fed by GI tube and having ops etc - which helped me feel as though we didn't have it so bad after all).
Just to reassure you I am up at this time not with my son but feeding my new baby daughter who is completely reflux free!
it is really hard and I hope you see sone improvement soon.