Current financing: 3.62% on a 30 year loan, 306 months (25.5 years) left on current balance of 264,000. Current payment is $1,313 a month with total payments to be $401,909. Home located in Chicago Suburbs

Called my local broker who I originally got the loan through and this was his offer on current rates:

Proposed New Mortgage Amount $264,000.00

- Proposed 30 Year Rate 3.000% --new payment would be $1,113; Total savings: $1,217

Proposed 25 Year Rate 3.000% --new payment would be $1,251 ; Total savings $26,334

Proposed 20 Year Rate 2.875% --new payment would be $1,447 ; Total savings $54,468

Proposed 15 Year Rate 2.625% --new payment would be $1,775 ; Total savings $82,247

Are these rates good? I haven't shopped around yet and wondering if I should.

I am a teacher with about 15 years left before retirement so job is steady. Three kids ages 6,4,1. Spouse is stay at home mom. Currently have saved about 370K spread between Roths, 403b, and emergency fund.