Hmm .. that journey is surely more than just a weekend trip ?
There are direct trains and buses but no direct flights for this journey. Bengaluru (Karnataka) to Shirdi (Maharashtra) distance is 1010 km and you can get there by flight + bus in just over 7 hours and 50 minutes or by train fares starting from ₹ 436.
The weather is amazing right now. You'll have a great time.