Can i claim moving expenses, or gas when my job sites are usually 30 -40 km's away from my new residence?

As per the Canada Revenue Agency (CRA): Generally, you can claim moving expenses you paid in the year if both of the following apply:

• you moved to work or to run a business at a new location, or you moved to study courses as a full-time student enrolled in a post-secondary program at a university, a college, or other educational institution
• your new home must be at least 40 kilometres closer (by the shortest public route) to your new work location or school

Since you have moved 17 km closer, it doesn't meet the CRA's requirement of 40 kilometers in order to claim moving expenses.

Gas expenses are deductible if you meet all of the following criteria:

1. You were normally required to work away from your employer's place of business or in different places.
2. Under your contract of employment, you had to pay your own motor vehicle expenses. You are not considered to have paid your own motor vehicle expenses if your employer reimburses you or you refuse a reimbursement or reasonable allowance from your employer.
3. You did not receive a non-taxable allowance for motor vehicle expenses. Generally, an allowance is non-taxable when it is based solely on a reasonable per-kilometre rate.
4. You keep with your records a copy of Form T2200, Declaration of Conditions of Employment, which has been completed and signed by your employer.

Related Information:

Moving Expenses as per the Canada Revenue Agency (CRA)

TurboTax FAQ: How do I claim moving expenses?

Allowable motor vehicle expenses as per CRA

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