I usually find that Direct line and Tesco help me best... Just try to keep the car unmodified, keep the engine low ect... be realistic, do you live quite close to the city and will probably take the bus or walk to work/uni/school most mornings? if so it could mean that you're doing lowish miles and if you put your anual milage lower could lower your premium slightly as insurers see you'll spend less time on the road... But be honest with this please. dont need it for work or studies? instead of domestic leasure and commute just put down for domestic and leisure use? although please be honest with this aswell as if you have an accident during the commute they might ask why you were traveling to work in your car ect... do a quote for both fully comp and TPFT cos sometimes have Fully comp is actually cheaper! if the car aint worth much and you wont get much back being fully comp go for TPFT if its cheaper and you're happy with it. have higher excess? if you increase your excess it could lower your annual premium, but in case of accident you may have to fork out a couple of hundred... usually younger drivers and new drivers have a high, compulsurary excess though... first time insuring your own car but have driven another car in the past as named driver? could make you eligable for named drivers no claims. when i was learning i bought my own car and insured it under my brother so he could teach me in it and he also used to occasionally... when i passed phoned insurers to tell them i've passed, 2 weeks before the policy ran out, and when i renewed i had 1yrs named driver NCB. Fit your car with Insurance approved alarms/immobolisers/trackers? prevents theift and in case of theift tracking the vehicle could be easier. safety caps? some insurers give young drivers opportunities to volunteer themselves to a cufue for driving, this meaning say between 10pm-6am your car stays stationary and you're not allowed to drive it. not meaning you cant in say an emergency but between these times its usually a PAYG system...
Hope this helps
And welcome to the roads