Second the oral syringe - That was a life saver, you cannot get a baby to take a spoon of meds!
I bought a plug in carvol thing which was fab - Its about £10 for the plug in and then about £6 for the refills, I got mine from Boots and use it whenever he has a cold or is sniffly - It beats using a wet towel on the radiator which is what my parents used to do!
I also second the calpol but not until after first jabs and then baby nurofen and baby bonjela for teething - Another brilliant thing to have in for teething are the teething powders (Milton something I think) which can be used from any age and are very good for the gums + for binding their tummies when they have runny nappies from teething.
Other than that I would say not to worry about the nose-picker things, they are useless! Get a muslin square and rub their noses gently if they get snotty etc.
Also we invested in a digital ear themomtre from amazon (think it was about £30?) Only because the first time I phoned NHS direct they wanted to know his temp and I didn't have a bloody clue because I couldn't get a good reading with the other type!
I also got a small bump-pack which you keep in the fridge, this was great for distracting from a bump or bang (Not for new born but for about 7 months or teething)
Just use common sense and make sure everything is for babies + safe, most of this stuff was from Home Bargains as its just so much cheaper - Just pick it up as you go along, at the moment I'm collecting plasters ...