Definitely! Get on it now, all the city firms are filling up fast!
Look on lawcareers.net for TC searches, and chambersandpartners.com is quite good too- look at their student guide- you can get hard copies too, and also the TC Handbook is useful. They all give you loads of advice and are really useful.
I wouldn't have thought there was a problem with getting a place on the LPC, especially as you've applied to some of the smaller places- I think it's only BPP, College of Law, Nottingham that have real competition for places (eg Nottingham has 900 applicants for 220 spots on their GDL- I can't see that being the same everywhere!)