i cut my hand

its a really deep cut too
and i dont feel pain so its gota be bad
anyhow, i cant really afford to go to a doc to fix it
what can i do to help it heal fast and without terrible scarring?
right now ive just washed it, put some neosporin and a bandaid like for normal cuts, but im afraid that wont work well enough.
in other news, i seem to burn my hands with grease and/or other hot objects pretty often - tips for healing that faster would be appreciated as well.