Hey.

Here is the chapterwise weightage of each chapter for NEET syllabus for Chemistry which will help you know the weightage each chapter holds and which is more important.  

Class XI  

 I  Basic Concepts of Chemistry  1%

 II  Structure of Atom  2%  

III  Classification of Elements & Periodicity in Properties  2%

 IV  Chemical Bonding and Molecular Structure  5%  

V  States of Matter: Gases and Liquids  2%

 VI  Thermodynamics  8%  

VII  Equilibrium  6%  

VIII  Redox Reactions  3%

 IX  Hydrogen  3%

 X  s-Block Elements  2%

 XI  Some p-Block Elements  2% 

XII  Organic Chemistry: Basic Principles & Techniques  4%  

XIII  Hydrocarbons  3%  

XIV  Environmental Chemistry  2%  

Class XII  

 I  Solid State  2%

 II  Solutions  5%  

III  Electrochemistry  2%  

IV  Chemical Kinetics  3%  

V  Surface Chemistry  2%  

VI  Isolation of Elements  2%  

VII  p-Block Elements  5%  

VIII  d- and f-Block Elements  4%

 IX  Coordination Compounds  9%  

X  Haloalkanes and Haloarenes  3%  

XI  Alcohols, Phenols and Ethers  4%

 XII  Aldehydes, Ketones and Carboxylic Acids  4%

 XIII  Organic Compounds containing Nitrogen  2%  

XIV  Biomolecules  3%  

XV  Polymers  3%  

XVI  Chemistry in Everyday Life  2%  

Here is a list of the best sources of books and publishers that you can use for preparing for NEET for Chemistry. You can use any of these as per your requirements along with NCERTs.- 

NCERT Chemistry textbooks for Class XI and XII  

Physical Chemistry by OP Tandon  

ABC of Chemistry for Classes 11 and 12 by Modern

 Concise Inorganic Chemistry by JD Lee

 Dinesh Chemistry Guide  

Practise books by VK Jaiswal (Inorganic), MS Chauhan (Organic) and N Awasthi (Physical)

Other than that keep practicing from various sample papers as well as previous year papers.