Soviet Foreign Minister Eduard Shevardnadze opened talks Thursday with Secretary of State George P. Shultz, bringing a series of proposals aimed at reducing the military arsenals of the two countries.

As he arrived at the State Department, Shevardnadze said he planned "full-scope negotiations" during what may be the last comprehensive review of Soviet-American relations before a new president takes office in four months."We have specific proposals in many areas," Shevardnadze said, adding that the discussions will cover nuclear and space weapons and conventional armaments and chemical weapons as well.

President Reagan, asked as he boarded a helicopter for a trip to Texas if the Soviet foreign minister had "brought good news," replied, "I think so."

Reagan did not elaborate and it was unclear whether he had advance word of the Soviet proposals.

Shevardnadze said the two sides will take up continuing differences over interpretations of the 1972 Anti-Ballistic Missile Treaty and will seek to narrow the gap on their joint effort to achieve reductions in strategic nuclear weapons.

Also on the table will be proposals for reducing air-launched and sea-launched cruise missiles.

Speaking through an interpreter, Shevardnadze said, "We have not come empty handed. As you can see we have a lot of baggage."