1300 kanji wow. How can you know that many and be a beginner? you should be able to read just about any manga
I know about 500 and I read non-furigana stuff (using a dictionary of course LOL) I'd say, try to challenge yourself and read more advanced vocabulary titles.
Just use a dictionary (nothing wrog with that) when you see the same 2-3 kanji words a lot, eventually you will remember them, that is the only way to learn really, unless you want to cram day and night LOL